xenharmonic (microtonal wiki)

Omnitetrachordal MODMOS scale
12L+8s
20 tones (8+4+8)

diminished; 3 forms; best at high L/s

P = 16.3836241662
Q = 41.9590604155 (4/3 = 5L+2.5s)

L = 60.00 to 100.00 cents (96.09 cents @ P, 98.44 cents @ Q)
s = 0.00 to 60.00 cents (5.87 cents @ P, 2.35 cents @ Q)

9/8 = 2L+2s (200.00 to 240.00 cents)
4/3 = 5L+3s (480.00 to 500.00 cents)
MOS generator = L+s (100.00 to 120.00 cents)
MOS period = 1/4 octave (300.00 cents)

notable EDOs: 32, 44, 56, 68, 80

sLsLLsLsLLsLsLLsLsLL (MOS, not OTC)
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sLLssLLsLLLssLLsLLLs (OTC MODMOS, form 1) - gc 6,2,4,2; 6o

sLsLLsLsLLsLsLLsLsLL (MOS, not OTC)
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ssLLLsLLssLLssLLLsLL (OTC MODMOS, form 2) - gc 6,2,4,2; 6o

sLsLLsLsLLsLsLLsLsLL (MOS, not OTC)
    ||||      || ||
sLsLsLsLLLsLsLsLLLsL (OTC MODMOS, form 3) - gc 6,6,4,4

sLLssLLsLLLssLLsLLLs (form 1)
       ||      ||
sLLssLLLsLLssLLLsLLs (form 2)
  ||      ||      ||
sLsLsLLLsLsLsLLLsLsL (form 3)
  ||   || ||   || ||
sLLssLLsLLLssLLsLLLs (form 1)

all modes, form 1:

`sLLs sLLsLLLs sLLsLLLs`
`LLss LLsLLLss LLsLLLss`		`LLssLLsL LLssLLsL LLss`
`LssL LsLLLssL LsLLLssL`		`LssLLsLL LssLLsLL LssL`
`ssLL sLLLssLL sLLLssLL`		`ssLLsLLL ssLLsLLL ssLL`
`sLLs LLLssLLs LLLssLLs`		`sLLsLLLs sLLsLLLs sLLs`
		`LLsLLLss LLsLLLss LLss`
		`LsLLLssL LsLLLssL LssL`
		`sLLLssLL sLLLssLL ssLL`
		`LLLssLLs LLLssLLs sLLs`
	`LLssLLsL LLss LLssLLsL`
	`LssLLsLL LssL LssLLsLL`
	`ssLLsLLL ssLL ssLLsLLL`
	`sLLsLLLs sLLs sLLsLLLs`
	`LLsLLLss LLss LLsLLLss`
	`LsLLLssL LssL LsLLLssL`
	`sLLLssLL ssLL sLLLssLL`
	`LLLssLLs sLLs LLLssLLs`
`LLss LLssLLsL LLssLLsL`
`LssL LssLLsLL LssLLsLL`
`ssLL ssLLsLLL ssLLsLLL`

all modes, form 2:

`sLLs sLLLsLLs sLLLsLLs`		`sLLssLLL sLLssLLL sLLs`
`LLss LLLsLLss LLLsLLss`		`LLssLLLs LLssLLLs LLss`
`LssL LLsLLssL LLsLLssL`		`LssLLLsL LssLLLsL LssL`
`ssLL LsLLssLL LsLLssLL`		`ssLLLsLL ssLLLsLL ssLL`
		`sLLLsLLs sLLLsLLs sLLs`
		`LLLsLLss LLLsLLss LLss`
		`LLsLLssL LLsLLssL LssL`
		`LsLLssLL LsLLssLL ssLL`
	`sLLssLLL sLLs sLLssLLL`
	`LLssLLLs LLss LLssLLLs`
	`LssLLLsL LssL LssLLLsL`
	`ssLLLsLL ssLL ssLLLsLL`
	`sLLLsLLs sLLs sLLLsLLs`
	`LLLsLLss LLss LLLsLLss`
	`LLsLLssL LssL LLsLLssL`
	`LsLLssLL ssLL LsLLssLL`
`sLLs sLLssLLL sLLssLLL`
`LLss LLssLLLs LLssLLLs`
`LssL LssLLLsL LssLLLsL`
`ssLL ssLLLsLL ssLLLsLL`

all modes, form 3:

`sLsL sLLLsLsL sLLLsLsL`		`sLsLsLLL sLsLsLLL sLsL`
`LsLs LLLsLsLs LLLsLsLs`		`LsLsLLLs LsLsLLLs LsLs`
`sLsL LLsLsLsL LLsLsLsL`		`sLsLLLsL sLsLLLsL sLsL`
		`LsLLLsLs LsLLLsLs LsLs`
		`sLLLsLsL sLLLsLsL sLsL`
		`LLLsLsLs LLLsLsLs LsLs`
		`LLsLsLsL LLsLsLsL sLsL`
	`LsLsLsLL LsLs LsLsLsLL`
	`sLsLsLLL sLsL sLsLsLLL`
	`LsLsLLLs LsLs LsLsLLLs`
	`sLsLLLsL sLsL sLsLLLsL`
	`LsLLLsLs LsLs LsLLLsLs`
	`sLLLsLsL sLsL sLLLsLsL`
	`LLLsLsLs LsLs LLLsLsLs`
	`LLsLsLsL sLsL LLsLsLsL`
`LsLs LsLsLsLL LsLsLsLL`
`sLsL sLsLsLLL sLsLsLLL`
`LsLs LsLsLLLs LsLsLLLs`
`sLsL sLsLLLsL sLsLLLsL`
`LsLs LsLLLsLs LsLLLsLs`		`LsLsLsLL LsLsLsLL LsLs`

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OTC 12L 8s

See also